document.write( "Question 1059370: suppose y varies directly with x and inversely with the square of z ,and x=48 when y=8 and z=3 find x when y=12 and z=2 please help me \n" ); document.write( "
Algebra.Com's Answer #674495 by MathTherapy(10553)\"\" \"About 
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suppose y varies directly with x and inversely with the square of z ,and x=48 when y=8 and z=3 find x when y=12 and z=2 please help me
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Based on what's given, we get: \"y+=+kx%2Fz%5E2\", with k being the CONSTANT of PROPORTIONALITY
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document.write( "\"8+=+k%2848%29%2F3%5E2\" ------ Substituting 48 for x, 8 for y, and 3 for z
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document.write( "\"8+=+48k%2F9\"
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document.write( "\"8+=+16k%2F3\"
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document.write( "16k = 24 ------ Cross-multiplying
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document.write( "\"matrix%281%2C3%2C+k+=+24%2F16%2C+or%2C+1.5%29\"\r
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document.write( "\"y+=+kx%2Fz%5E2\"
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document.write( "\"12+=+%281.5%29%28x%29%2F2%5E2\" ------ Substituting 12 for y, \"matrix%281%2C3%2C+1.5%2C+for%2C+k%29\", and 2 for z
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document.write( "\"1.5x+=+12%282%5E2%29\" ------ Cross-multiplying
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document.write( "\"highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+12%284%29%2F1.5%2C+or%2C+32%29%29\" \n" );
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